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An operator-theoretic approach to the Toda lattice equation
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences.
Responsible organisation
1998 (English)In: Physica D: Non-linear phenomena, ISSN 0167-2789, Vol. 122, no 1-4, 37-61 p.Article in journal (Refereed) Published
Abstract [en]

We treat the Toda lattice equation with operator methods and derive an explicit solution formula in terms of determinants. As an application, we investigate solutions which are given by special settings. In the finite-dimensional case matrices in Jordan canonical form give rise to a new class of solutions. Within this class the well-known N-soliton solutions can be recovered by the special choice of diagonal matrices. Moreover, using diagonal operators we get solutions depending on an infinite number of parameters. We comprehensively discuss the case involving diagonal operators and show that it can be reduced to a very particular situation.

Place, publisher, year, edition, pages
1998. Vol. 122, no 1-4, 37-61 p.
Keyword [en]
Toda lattice, quasi-Banach ideals, explicit solution formulas
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-4444DOI: 10.1016/S0167-2789(98)00173-0Local ID: 5426OAI: oai:DiVA.org:miun-4444DiVA: diva2:29476
Available from: 2008-09-30 Created: 2009-01-07 Last updated: 2010-02-25Bibliographically approved

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Schiebold, Cornelia
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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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  • de-DE
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  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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  • html
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  • asciidoc
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